a$.$ The probability that all $5$ operations will be completed is: $\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_.$

b$.$ A cycle time of $\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$ seconds will ensure that all operations are finished by the end of the cycle $98\%$ of the time.

Briefly explain your answer:

c$.$ To achieve the desired performance level, the standard deviation reductions should be:

Reduction for task $1$ Reduction for task $2$ Reduction for task $3$ Reduction for task $4$ Reduction for task $5$

The total cost for these reductions is: $\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_.$